Home
Class 12
MATHS
ABC has integral side lengths. Internal ...

`` ABC has integral side lengths. Internal angle bisector of angle B meets side AC at D. If AD = 3, DC = 8, then perimeter of `` ABC is- (1) 37 (2) 36 (3) 35 (4) 33

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

ABC is a triangle and the internal angle bisector of angle A cuts the side BC at D. If A=(3,-5), B(-3,3), C=(-1,-2) then find the length AD

In triangle ABC,angleC=(2pi)/3 and CD is the internal angle bisector of angleC meeting the side AB at D. If Length CD is 1, then H.M. of a and b is equal to : (a) 1 (b) 2 (c) 3 (d) 4

In a triangle ABC, the internal angle bisector of /_ABC meets AC at K. If BC = 2, CK = 1 and BK =(3sqrt2)/2 , then find the length of side AB.

ABC is a right triangle with AB = AC .If bisector of angle A meet BC at D then prove that BC = 2 AD .

In triangle A B C ,/_C=(2pi)/3 and C D is the internal angle bisector of /_C , meeting the side A Ba tD . If Length C D is 1, the H.M. of aa n db is equal to: 1 (b) 2 (c) 3 (d) 4

In the triangle ABC, vertices A, B, C are (1, 2), (3, 1), (-1, 6) respectively. If the internal angle bisector of angleBAC meets BC at D, then the coordinates of D are ((5)/(3),(8)/(3))

In Triangle A B C with fixed length of B C , the internal bisector of angle C meets the side A B a tD and the circumcircle at E . The maximum value of C D×D E is c^2 (b) (c^2)/2 (c) (c^2)/4 (d) none of these

In parallelogram ABCD, the bisector of angle A meets DC at P and AB= 2AD. Prove that: BP bisects angle B

In a triangle ABC , AB = AC and angle A = 36^(@) If the internal bisector of angle C meets AB at D . Prove that AD = BC.

In DeltaABC with fixed length of BC , the internal bisector of angle C meets the side AB at D and meet the circumcircle at E. The maximum value of CD xx DE is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The minimum value of the function f(x)=x^(10)+x^2+1/(x^(12))+1/((1+s...

    Text Solution

    |

  2. Sum of the solution of the equation [x^2]-2x+1=0 is (where [.] denot...

    Text Solution

    |

  3. ABC has integral side lengths. Internal angle bisector of angle B m...

    Text Solution

    |

  4. Find the underset(k=1)overset(oo)sumunderset(n=1)overset(oo)sumk/(2^(n...

    Text Solution

    |

  5. 2n(A-B)=n(A-B) and 5n(AnnB)=n(A)+3n(B) If n(AuuB)lt=10 , then the va...

    Text Solution

    |

  6. If both roots of quadratic equation x^2+(sintheta+costheta)x+3/8=0 are...

    Text Solution

    |

  7. If the inequality k x^2-2x+kgeq0 holds good for atleast one real ' x...

    Text Solution

    |

  8. A circle passes through the points A(1,0) and B(5,0), and touches the ...

    Text Solution

    |

  9. about to only mathematics

    Text Solution

    |

  10. Consider a family of circle passing thorugh two fixed points A(3,7) an...

    Text Solution

    |

  11. Equation of chord AB of circle x^(2)+y^(2)=2 passing through P(2,2) su...

    Text Solution

    |

  12. In a triangle A B C ,A-=(alpha,beta)B-=(2,3),a n dC-=(1,3)dot Point A ...

    Text Solution

    |

  13. Let O be the origin. If A(1,0)a n dB(0,1)a n dP(x , y) are points such...

    Text Solution

    |

  14. Let f(x) be a 4 degree polynomial satisfying f(r)=(1)/(r) for r=1,2,3,...

    Text Solution

    |

  15. if f(x) is a differentiable function wherever it is continuous and f^(...

    Text Solution

    |

  16. consider f:R-{0}toR defined by f(x)=1-e^((1)/(x)-1) Q. Which of the ...

    Text Solution

    |

  17. Let f (x) be a polynommial satisfying f (0) =2 , f (0) = 3 and f ''...

    Text Solution

    |

  18. if f(x) is a differential function such that f(x)=int(0)^(x)(1+2xf(t))...

    Text Solution

    |

  19. if f(x) is a differentiable function wherever it is continuous and f^(...

    Text Solution

    |

  20. if f(x) is a differential function such that f(x)=int(0)^(x)(1+2xf(t))...

    Text Solution

    |